Created
January 31, 2019 10:27
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Calculate Gini coefficient for Ethereum balances.
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with | |
double_entry_book as ( | |
-- debits | |
select to_address as address, value as value, block_timestamp | |
from `bigquery-public-data.crypto_ethereum.traces` | |
where to_address is not null | |
and status = 1 | |
and (call_type not in ('delegatecall', 'callcode', 'staticcall') or call_type is null) | |
union all | |
-- credits | |
select from_address as address, -value as value, block_timestamp | |
from `bigquery-public-data.crypto_ethereum.traces` | |
where from_address is not null | |
and status = 1 | |
and (call_type not in ('delegatecall', 'callcode', 'staticcall') or call_type is null) | |
union all | |
-- transaction fees debits | |
select miner as address, sum(cast(receipt_gas_used as numeric) * cast(gas_price as numeric)) as value, block_timestamp | |
from `bigquery-public-data.crypto_ethereum.transactions` as transactions | |
join `bigquery-public-data.crypto_ethereum.blocks` as blocks on blocks.number = transactions.block_number | |
group by blocks.miner, block_timestamp | |
union all | |
-- transaction fees credits | |
select from_address as address, -(cast(receipt_gas_used as numeric) * cast(gas_price as numeric)) as value, block_timestamp | |
from `bigquery-public-data.crypto_ethereum.transactions` | |
) | |
,double_entry_book_by_date as ( | |
select | |
date(block_timestamp) as date, | |
address, | |
sum(value / POWER(10,0)) as value | |
from double_entry_book | |
group by address, date | |
) | |
,daily_balances_with_gaps as ( | |
select | |
address, | |
date, | |
sum(value) over (partition by address order by date) as balance, | |
lead(date, 1, current_date()) over (partition by address order by date) as next_date | |
from double_entry_book_by_date | |
) | |
,calendar as ( | |
select date from unnest(generate_date_array('2015-07-30', current_date())) as date | |
) | |
,daily_balances as ( | |
select address, calendar.date, balance | |
from daily_balances_with_gaps | |
join calendar on daily_balances_with_gaps.date <= calendar.date and calendar.date < daily_balances_with_gaps.next_date | |
) | |
,supply as ( | |
select | |
date, | |
sum(balance) as daily_supply | |
from daily_balances | |
group by date | |
) | |
,ranked_daily_balances as ( | |
select | |
daily_balances.date, | |
balance, | |
row_number() over (partition by daily_balances.date order by balance desc) as rank | |
from daily_balances | |
join supply on daily_balances.date = supply.date | |
where safe_divide(balance, daily_supply) >= 0.0001 | |
ORDER BY safe_divide(balance, daily_supply) DESC | |
) | |
select | |
date, | |
-- (1 − 2B) https://en.wikipedia.org/wiki/Gini_coefficient | |
1 - 2 * sum((balance * (rank - 1) + balance / 2)) / count(*) / sum(balance) as gini | |
from ranked_daily_balances | |
group by date | |
order by date asc |
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